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55673069400 = 233252132379191
BaseRepresentation
bin110011110110010111…
…111001111101011000
312022200221200221211100
4303312113321331120
51403004301210100
641324215031400
74010426165454
oct636627717530
9168627627740
1055673069400
1121679aa6063
12a95896b560
13533319bb20
1429a1d59664
1516ac94e400
hexcf65f9f58

55673069400 has 144 divisors (see below), whose sum is σ = 201351018960. Its totient is φ = 13704134400.

The previous prime is 55673069357. The next prime is 55673069401. The reversal of 55673069400 is 496037655.

55673069400 is a `hidden beast` number, since 556 + 7 + 3 + 0 + 6 + 94 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55673069401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1166196 + ... + 1212995.

It is an arithmetic number, because the mean of its divisors is an integer number (1398270965).

Almost surely, 255673069400 is an apocalyptic number.

55673069400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

55673069400 is an abundant number, since it is smaller than the sum of its proper divisors (145677949560).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

55673069400 is a wasteful number, since it uses less digits than its factorization.

55673069400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2379226 (or 2379214 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 45.

The spelling of 55673069400 in words is "fifty-five billion, six hundred seventy-three million, sixty-nine thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 25 26 30 36 39 40 45 50 52 60 65 72 75 78 90 100 104 117 120 130 150 156 180 195 200 225 234 260 300 312 325 360 390 450 468 520 585 600 650 780 900 936 975 1170 1300 1560 1800 1950 2340 2600 2925 3900 4680 5850 7800 11700 23400 2379191 4758382 7137573 9516764 11895955 14275146 19033528 21412719 23791910 28550292 30929483 35687865 42825438 47583820 57100584 59479775 61858966 71375730 85650876 92788449 95167640 107063595 118959550 123717932 142751460 154647415 171301752 178439325 185576898 214127190 237919100 247435864 278365347 285502920 309294830 356878650 371153796 428254380 463942245 475838200 535317975 556730694 618589660 713757300 742307592 773237075 856508760 927884490 1070635950 1113461388 1237179320 1391826735 1427514600 1546474150 1855768980 2141271900 2226922776 2319711225 2783653470 3092948300 3711537960 4282543800 4639422450 5567306940 6185896600 6959133675 9278844900 11134613880 13918267350 18557689800 27836534700 55673069400